JEE Main 2015MathematicsHeights and DistancesEasyMCQ

JEE Main 2015Heights and Distances Question with Solution

JEE Main 2015 (11 Apr Online)

Question

Let 10 vertical poles standing at equal distances on a straight line, subtend the same angle of elevation α at a point O on this line and all the poles are on the same side of O. If the height of the longest pole is h and the distance of the foot of the smallest pole from O is a; then the distance between two consecutive poles, is

Choose an option

Show full solutionCorrect option: B
Correct answer
Bhcosα-a sinα9sinα

Step-by-step explanation



from diagram

tanα=ha+9b

a+9b=hcosαsinα

9b= hcosα-asinαsinα

b=hcosα-asinα9sinα

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About this question

This is a previous-year question from JEE Main 2015, covering the Heights and Distances chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.